 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 59, Issue 3 / 2024 | Next article >> |
| Mitali Bachher, "Time-Fractional Heat Conduction Effects on the Dynamic Response of a Magneto-Thermoelastic Half-Space Subjected to a Thermal Shock," Mech. Solids. 59 (3), 1459-1474 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
3 |
Pages |
1459-1474 |
| DOI |
10.1134/S0025654424603070 |
| Title |
Time-Fractional Heat Conduction Effects on the Dynamic Response of a Magneto-Thermoelastic Half-Space Subjected to a Thermal Shock |
| Author(s) |
Mitali Bachher (Department of Mathematics, Dinabandhu Mahavidyalaya, Bongaon, West Bengal, India, mitali.ju08@gmail.com) |
| Abstract |
In this study, we investigate the dynamic response of a two-dimensional half-space solid
subjected to a thermal shock, considering magneto-thermoelastic coupling and time-fractional heat
conduction effects. The material under consideration is homogeneous, isotropic, thermally and electrically conducting, with a free surface exposed to the thermal shock. We employ the L–S model of
generalized thermoelasticity, incorporating fractional derivative heat transfer to account for second
sound effects. Additionally, an initial magnetic field is applied parallel to the plane boundary of the
medium. Through normal mode analysis and the eigenvalue approach, we solve the resulting nondimensional coupled field equations to derive exact expressions for temperature, displacement, and
thermal stresses. Numerical results for these dimensionless quantities are presented graphically and
analyzed, with comparisons drawn between cases with and without the magnetic field. |
| Keywords |
elasticity, thermal, non-Fourier heat conduction, fractional derivative, normal mode, eigenvalue |
| Received |
12 March 2024 | Revised |
19 May 2024 | Accepted |
25 May 2024 |
| Link to Fulltext |
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